ON THE -LENGTH AND THE WIELANDT LENGTH OF A FINITE -SOLUBLE GROUP

DOI10.1017/S0004972713000026zbMath1291.20017OpenAlexW1968374930MaRDI QIDQ2872011

Ning Su, Yan Ming Wang

Publication date: 14 January 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972713000026

zbMATH Keywords

nilpotent groups\(p\)-solvable groupsSylow subgroupspermutable subgroups\(p\)-lengthsnormal seriesWielandt lengthsnilpotent classespermutable lengthspermutable series

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

On the \(p\)-length of a finite group with conditionally permutable factors ⋮ ON THE -LENGTH AND THE WIELANDT SERIES OF A FINITE -SOLUBLE GROUP

Cites Work

• Über den Normalisator der subnormalen Untergruppen
• On the Wielandt length of metabelian \(p\)-groups
• Influence of permutizers of subgroups on the structure of finite groups.
• Sylow permutable subnormal subgroups of finite groups
• Subgroup lattices of groups
• \(p\)-normality and \(p\)-length of a finite group
• The Wielandt length of finite groups
• On quasinormal subgroups of finite groups
• Endliche Gruppen I

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